
Using the above image for reference, at idle and probably throughout the entire RPM range (possibly not for heavily modified pumps) the feed pump is flowing more fuel than is needed by the engine. This, added to the fact that there is a restriction in the OUTLET banjo bolt creates pressure inside the pump housing. This pressure is the main thing that controls advance. On some pumps it is the only thing. Pressure is regulated by the regulating valve.
The feed pump is a positive displacement pump. What that means is that whatever goes into must come out. Our waterpumps are an example of a non-positive displacement pump (I think that is the term). It basically just spins and will push some of the coolant around. Back to the feed pump. What this means is that flow is related to RPM in a linear fashion. The higher the RPM, the more fuel will be pushed into the pump housing.
At idle, the regulating valve will be partially open. Any fuel that the regulating valve bleeds off to maintain the proper PSI in the pump housing is directed back to the feed side of the feed pump. See below

That "extra" fuel is supplementing the amount of fuel that needs to be drawn from the tank. When you mash the go pedal, the balance is upset. More fuel is injected into the engine but the engine and pump RPM has not increased yet. This causes the pressure inside the pump housing to begin to drop. As the pressure begins to drop, the regulating valve begins to close and direct more fuel into the pump housing rather than back into the feed side of the feed pump. The regulating valve is very sensitive so the pressure drop is minimal on our engines.
Yes, the feed pump on the cummins and the VW is the same. When we look at the two engines, the VW has 4800 RPM to make it's power while the cummins has 3000. Going back to the positive displacement feed pump we can see that the VW has an advantage in maintaining internal pump pressure throughout the RPM range. Also consider the fact that a cummins idles around 600 RPM while our VWs are around 800 RPM. That's 30% more flow through the vane pump at idle on our VWs.
Also, on many VE pumps, when you mash the go pedal at idle the amount of fuel injected into the engine is the maximum amount of fuel that will ever be injected into the engine. The exception is starting fuel, or cranking fuel. Bosch has developed many fancy contraptions to modify the fuel curve that make my above statement false, such as the LDA but the point I am trying to make is at idle and WOT a lot of fuel is being injected into the engine.
The above statements are based on a properly calibrated pump. Over the years parts wear and the pump falls out of calibration. Depending on the wear of your pump you may find that a lift pump helps. Like ROR said, it is especially helpful in priming the fuel system for starting.